document.write( "Question 284722: If a and b are negative and c is positive, which of the following must be true?\r
\n" );
document.write( "\n" );
document.write( "i) c - (a + b) > 0 ii) (a - c)(b - c) > 0 iii) (a - b)(c - b) > 0\r
\n" );
document.write( "\n" );
document.write( "a) (i) and (ii) only
\n" );
document.write( "b) (i) and (iii) only
\n" );
document.write( "c) (ii) and (iii) only
\n" );
document.write( "d) (i), (ii), and (iii)
\n" );
document.write( "e) none of these
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #803554 by CubeyThePenguin(3113)![]() ![]() You can put this solution on YOUR website! i) c - (a + b) > 0 \n" ); document.write( "(positive) - (negative) > 0 \n" ); document.write( "This is always positive.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ii) (a - c)(b - c) > 0 \n" ); document.write( "ab - bc - ac + c^2 > 0 \n" ); document.write( "(positive) - (negative) - (negative) + (positive) > 0 \n" ); document.write( "This depends on the values of a, b, and c.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "iii) (a - b)(c - b) > 0 \n" ); document.write( "ac - bc - ab + b^2 > 0 \n" ); document.write( "(negative) - (negative) - (positive) + (positive) > 0 \n" ); document.write( "This depends on a, b, and c. \n" ); document.write( " |